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An Objective Theory of Probability (Routledge Revivals) (Paperback)
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An Objective Theory of Probability (Routledge Revivals) (Paperback)
Series: Routledge Revivals
Expected to ship within 10 - 15 working days
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This reissue of D. A. Gillies highly influential work, first
published in 1973, is a philosophical theory of probability which
seeks to develop von Mises' views on the subject. In agreement with
von Mises, the author regards probability theory as a mathematical
science like mechanics or electrodynamics, and probability as an
objective, measurable concept like force, mass or charge. On the
other hand, Dr Gillies rejects von Mises' definition of probability
in terms of limiting frequency and claims that probability should
be taken as a primitive or undefined term in accordance with modern
axiomatic approaches. This of course raises the problem of how the
abstract calculus of probability should be connected with the
'actual world of experiments'. It is suggested that this link
should be established, not by a definition of probability, but by
an application of Popper's concept of falsifiability. In addition
to formulating his own interesting theory, Dr Gillies gives a
detailed criticism of the generally accepted Neyman Pearson theory
of testing, as well as of alternative philosophical approaches to
probability theory. The reissue will be of interest both to
philosophers with no previous knowledge of probability theory and
to mathematicians interested in the foundations of probability
theory and statistics.
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